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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion(More)
Anamorphoses are distorted images that need to be seen from a special point of view in order to reconstruct the correct image (perspectival anamorphosis). In catoptric anamorphoses, a mirror is used to restore the original image. We describe an effective procedure, using ray-tracing software, to define, test and build general catoptric anamorphoses. Users(More)
We define a new kind of anamorphosis, where the distorted image is a three-dimensional object, whose reflection in a mirror restores the hidden design. A chain of softwares and programming languages are used in order to build the sculpture, using a 3D printer. This work, through the genesis of the idea, the elaboration of software tools and solutions, and(More)
The Heilbronn problem for triangle[Wei] is defined as follows: place N points inside a triangle of unit area, so as to maximize the area of the smallest triangle obtained by choosing 3 points among N. Several authors worked towards finding lower bounds or optimal configurations of points. In this paper, we propose upper bounds for those problems, obtained(More)
Anamorphoses have been know for centuries, as distorted images needing to be seen in a mirror from a special point of view in order to see the non-distorted image. During Renaissance, they have been associated to mathematical techniques for drawing such pictures efficiently, on specific mirror shapes (in the case of cylindrical or conical mirrors). We can(More)
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