Advances in multiresolution and subdivision techniques and its applications
Organizers: Yáñez Avendaño, Dionisio F. (Departamento de Matemáticas, U. Valencia), Ruiz, Juan (Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena), Trillo, Juan Carlos (Departamento de Matemática Aplicada y estadística, Universidad Politécnica de Cartagena)
Abstract
Multiresolution and subdivision techniques are used in several applications as computer aided design and image processing. For instance, Harten's multiresolution framework allows to design new methods based on linear and non-linear reconstruction techniques. In nonlinear subdivision schemes, crucial questions such as convergence and stability of the schemes, order of approximation, preservation of monotonicity or convexity, and elimination of Gibbs effects near jump discontinuities need to be studied with specific techniques. In turn, subdivision schemes and their properties play an important role in order to construct and study new multiresolution schemes. The selected talks will deal with these issues.
Keywords: multiresolution; subdivision; image processing
Session 5: Tuesday, 18:00-20:00. Room B1.
Chair: Trillo, Juan Carlos (Universidad Politécnica de Cartagena)
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|
Speaker |
Organization |
Contribution title |
|
Magreñan, Alberto |
Universidad de La Rioja |
Non tensor product reconstructions in 2D. Applications to subdivision and multiresolution schemes |
|
Ruiz, Juan |
Universidad Politécnica de Cartagena |
On how to adapt splines to the presence of discontinuities |
|
Trillo, Juan Carlos |
Universidad Politécnica de Cartagena |
On the PPH nonlinear subdivision and multiresolution schemes for non uniform meshes |
|
Yáñez Avendaño, Donisio F. |
Universidad de Valencia |
Subdivision schemes based on local polynomial regression |
|
López-Ureña, Sergio |
Universidad de Valencia |
Design of non-linear filters for piecewise smooth data affected by noise |
