{"id":10252,"date":"2022-01-05T23:51:19","date_gmt":"2022-01-05T15:51:19","guid":{"rendered":"https:\/\/www.oceanlight.com\/log\/?p=10252"},"modified":"2022-12-31T03:19:18","modified_gmt":"2022-12-30T19:19:18","slug":"on-instability-or-a-small-change-in-perspective-goes-a-long-way","status":"publish","type":"post","link":"https:\/\/www.oceanlight.com\/log\/on-instability-or-a-small-change-in-perspective-goes-a-long-way.html","title":{"rendered":"On Instability, or, A Small Change in Perspective Goes a Long Way"},"content":{"rendered":"[vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][vc_column_text]<em>Instability: the characteristic of a system in which a small change in inputs leads to relatively much larger change in output.<\/em><\/p>\n<p>I was first introduced to the formal idea of instability as a graduate student at UCSD in a series of lectures offered by William Nachbar, one of my favorite professors. \u00a0Since then, in <a href=\"https:\/\/www.phillipcolla.com\">my professional career as an algorithmist, scientific programmer and developer of data mining and predictive analytics engines<\/a>, I have often pondered the idea of instability. Indeed I have spent much time working on software applications in which a small change in initial conditions would lead to a (usually undesirable) large change in the outcome. \u00a0It may sound strange but to this engineer examples of instability are everywhere, and with a little thought can be used to advantage even in something as mundane as photography. \u00a0Consider the following two examples in which a small change in one of the initial conditions &#8211; perspective &#8211; leads to moderate or profound change in the outcome (the image). \u00a0(It should be noted that in all four images, <a href=\"https:\/\/www.oceanlight.com\/log\/front-lit-portraiture-or-why-i-point-my-shadow-at-my-subject.html\">my shadow is pointed toward or directly at the subject<\/a>.)<\/p>\n<p>In the first, we have the same light, same photographic settings, same animal, essentially the same posture, and nearly the same moment in time (only about a minute separates the images). \u00a0However, in the first I am standing while for the second I am on my knees. \u00a0The small change in the elevation angle changes the background considerably. \u00a0In the latter, the reef is no longer seen and, since the axis of the lens is pointed just a hair below the horizon, the water in the distance is as far away as possible and as defocused as possible. \u00a0I like both, and often shoot and keep both versions when its possible, but I have observed that bird photography specialists tend toward the latter, cleaner background.[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][image_with_animation image_url=&#8221;10253&#8243; animation=&#8221;None&#8221; hover_animation=&#8221;none&#8221; alignment=&#8221;center&#8221; img_link_large=&#8221;yes&#8221; border_radius=&#8221;none&#8221; box_shadow=&#8221;none&#8221; image_loading=&#8221;default&#8221; max_width=&#8221;100%&#8221; max_width_mobile=&#8221;default&#8221;][\/vc_column][\/vc_row][vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][vc_column_text]In the second pair, I made a made a small change from left to right, completely altering the background. I simply shuffled on my knees three or four feet to the right, to move the background 30 or 40 feet to the left and into full shadow. \u00a0Same bird, same light, same camera settings, virtually the same time, but completely different feel to the image.[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][image_with_animation image_url=&#8221;10254&#8243; animation=&#8221;None&#8221; hover_animation=&#8221;none&#8221; alignment=&#8221;center&#8221; img_link_large=&#8221;yes&#8221; border_radius=&#8221;none&#8221; box_shadow=&#8221;none&#8221; image_loading=&#8221;default&#8221; max_width=&#8221;100%&#8221; max_width_mobile=&#8221;default&#8221;][\/vc_column][\/vc_row][vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][vc_column_text]After I originally wrote this post, I stumbled across another pair that illustrates the background change, full body this time, shot about a year before the above example. Again, all I did was move to my right a few feet and the background changed completely, giving the image a very different feel.[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][image_with_animation image_url=&#8221;10373&#8243; animation=&#8221;None&#8221; hover_animation=&#8221;none&#8221; alignment=&#8221;center&#8221; img_link_large=&#8221;yes&#8221; border_radius=&#8221;none&#8221; box_shadow=&#8221;none&#8221; image_loading=&#8221;default&#8221; max_width=&#8221;100%&#8221; max_width_mobile=&#8221;default&#8221;][\/vc_column][\/vc_row]\n","protected":false},"excerpt":{"rendered":"<p>[vc_row type=&#8221;in_container&#8221; full_screen_row_position=&#8221;middle&#8221; column_margin=&#8221;default&#8221; column_direction=&#8221;default&#8221; column_direction_tablet=&#8221;default&#8221; column_direction_phone=&#8221;default&#8221; scene_position=&#8221;center&#8221; text_color=&#8221;dark&#8221; text_align=&#8221;left&#8221; row_border_radius=&#8221;none&#8221; row_border_radius_applies=&#8221;bg&#8221; overlay_strength=&#8221;0.3&#8243; gradient_direction=&#8221;left_to_right&#8221; shape_divider_position=&#8221;bottom&#8221; bg_image_animation=&#8221;none&#8221;][vc_column column_padding=&#8221;no-extra-padding&#8221; column_padding_tablet=&#8221;inherit&#8221; column_padding_phone=&#8221;inherit&#8221; column_padding_position=&#8221;all&#8221; background_color_opacity=&#8221;1&#8243; background_hover_color_opacity=&#8221;1&#8243; column_shadow=&#8221;none&#8221; column_border_radius=&#8221;none&#8221; column_link_target=&#8221;_self&#8221; gradient_direction=&#8221;left_to_right&#8221; overlay_strength=&#8221;0.3&#8243; width=&#8221;1\/1&#8243; tablet_width_inherit=&#8221;default&#8221; tablet_text_alignment=&#8221;default&#8221; phone_text_alignment=&#8221;default&#8221; column_border_width=&#8221;none&#8221; column_border_style=&#8221;solid&#8221; bg_image_animation=&#8221;none&#8221;][vc_column_text]Instability: the characteristic of a system in which a small change in inputs leads to relatively much&#8230;<\/p>\n","protected":false},"author":1,"featured_media":10254,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[189,193,135],"tags":[212,303],"class_list":{"0":"post-10252","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-pelicans-of-la-jolla","8":"category-seabird","9":"category-wisdom","10":"tag-birds","11":"tag-pelicans"},"_links":{"self":[{"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/posts\/10252","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/comments?post=10252"}],"version-history":[{"count":0,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/posts\/10252\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/media\/10254"}],"wp:attachment":[{"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/media?parent=10252"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/categories?post=10252"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oceanlight.com\/log\/wp-json\/wp\/v2\/tags?post=10252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}