4 citations · 4 across the 3 of their papers we have counts for
4 papers
Optimization of triangular networks with spatial constraints
Valentin R. Koch, Hung M. Phan
A common representation of a three dimensional object in computer applications, such as graphics and design, is in the form of a triangular mesh. In many instances, individual or g…
Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization
Heinz H. Bauschke, Valentin R. Koch, Hung M. Phan
The basic optimization problem of road design is quite challenging due to a objective function that is the sum of nonsmooth functions and the presence of set constraints. In this p…
The method of cyclic intrepid projections: convergence analysis and numerical experiments
Heinz H. Bauschke, Francesco Iorio, Valentin R. Koch
The convex feasibility problem asks to find a point in the intersection of a collection of nonempty closed convex sets. This problem is of basic importance in mathematics and the p…
Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces
Heinz H. Bauschke, Valentin R. Koch
We model a problem motivated by road design as a feasibility problem. Projections onto the constraint sets are obtained, and projection methods for solving the feasibility problem…