Radial Distortion Self-Calibration

In cameras with radial distortion, straight lines in space are in general mapped to curves in the image. Although epipolar geometry also gets distorted, there is a set of special epipolar lines that remain straight, namely those that go through the distortion center. By finding these straight epipolar lines in camera pairs we can obtain constraints on the distortion center(s) without any calibration object or plumbline assumptions in the scene. Although this holds for all radial distortion models we conceptually prove this idea using the division distortion model and the radial fundamental matrix which allow for a very simple closed form solution of the distortion center from two views (same distortion) or three views (different distortions). The non-iterative nature of our approach makes it immune to local minima and allows finding the distortion center also for cropped images or those where no good prior exists. Besides this, we give comprehensive relations between different undistortion models and discuss advantages and drawbacks.

Tribunal Constitucional Internacional – auto de ciência

Resumo: a criação dum Tribunal Constitucional Internacional, no nosso entender, é uma exigência da própria Declaração Universal dos Direitos do Homem de 1948. Neste texto são apresentados uma série de argumentos velhos e novos para a importância da existência do Tribunal Constitucional Internacional a nível mundial. Trata-se dum Tribunal que é indispensável à defesa dos Direitos do Homem, contra qualquer tipo de ditadura ou fanatismo económico, social, político, cultural ou mental. § Abstract: the creation of an International Constitutional Court, in our view, is a requirement of own Universal Declaration of Human Rights of 1948. In this paper are given a lot of old and new arguments for the importance of the existence of the International Constitutional Court worldwide. It is of a Court that is indispensable to the defense of human rights, against all forms of dictatorship or economic fanaticism, social, political, cultural or mental.