Shape from Shadows: A Hilbert Space Setting
โ Scribed by Michael Hatzitheodorou
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 213 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0885-064X
No coin nor oath required. For personal study only.
โฆ Synopsis
We study the problem of recovering a surface from the shadows it casts on itself when lighted by the sun at various times of the day. Shadows can create both linear and nonlinear information. We will show how to incorporate both types of information in the solution. The problem is formulated and solved in a Hilbert space setting and the spline algorithm interpolating the data that result from the shadows is constructed. This algorithm is optimal in terms of the approximation error and has low cost. We furthermore derive optimal information for this problem.
๐ SIMILAR VOLUMES
Let C1 and C2 be convex closed domains in the plane with C 2 boundaries 0C1 and cqd2 intersecting each other in nonzero angles. Assume the two strictly convex bodies .T1 and ~'2 with C 2 boundaries in the interior of C1 f3 C~ subtend equal visual angles at each point of 0C1 and 0C2. Then fi'l and 3r