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» A Geometric Proof of Calibration
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CADE
1998
Springer
14 years 21 days ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson
MKM
2005
Springer
14 years 1 months ago
Computational Origami of a Morley's Triangle
Abstract. We present a computational origami construction of Morley’s triangles and automated proof of correctness of the generalized Morley’s theorem in a streamlined process ...
Tetsuo Ida, Hidekazu Takahashi, Mircea Marin
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
14 years 14 days ago
Optimality of affine policies in multi-stage robust optimization
In this paper, we show the optimality of a certain class of disturbance-affine control policies in the context of one-dimensional, constrained, multi-stage robust optimization. Ou...
Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Par...
CG
2004
Springer
13 years 8 months ago
Recursive turtle programs and iterated affine transformations
We provide a formal proof of equivalence between the class of fractals created by Recursive Turtle Programs (RTP) and Iterated Affine Transformations (IAT). We begin by reviewing ...
Tao Ju, Scott Schaefer, Ron Goldman
ICMCS
1999
IEEE
259views Multimedia» more  ICMCS 1999»
14 years 23 days ago
PhotoBuilder - 3D Models of Architectural Scenes from Uncalibrated Images
We address the problem of recovering 3D models from uncalibrated images of architectural scenes. We propose a simple, geometrically intuitive method which exploits the strong rigi...
Roberto Cipolla, Duncan P. Robertson, Edmond Boyer