Direct Jacobian Control for Geometric Video Compression via Prescribed-Density Diffeomorphic Synthesis
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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2026
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| _version_ | 1866901107925581824 |
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| author | Gustavo Reis de Sena, ERIC |
| author_facet | Gustavo Reis de Sena, ERIC |
| contents | <p>This work introduces a geometric framework for video compression based on deterministic control of spatial transformations. The approach reformulates compression as a forward problem, where a target spatial density is prescribed and a corresponding transformation is constructed under strict mathematical constraints.</p> <p>The method leverages principles from differential geometry and partial differential equations to ensure stability, invertibility, and consistency of the spatial mapping. A constructive pipeline is defined to generate valid transformations that align spatial structure with compression objectives, enabling controlled redistribution of information prior to encoding.</p> <p>The proposed formulation addresses limitations of indirect estimation approaches by providing a structured mechanism for enforcing transformation properties. The framework is compatible with existing video coding pipelines and is designed to operate within practical computational constraints.</p> <p>Experimental validation demonstrates consistency between the prescribed transformation properties and the resulting behavior of the system, supporting the feasibility of the approach.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19121483 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Direct Jacobian Control for Geometric Video Compression via Prescribed-Density Diffeomorphic Synthesis Gustavo Reis de Sena, ERIC geometric video compression geometric video compression diffeomorphic transformations spatial modeling PDE-based methods computational imaging <p>This work introduces a geometric framework for video compression based on deterministic control of spatial transformations. The approach reformulates compression as a forward problem, where a target spatial density is prescribed and a corresponding transformation is constructed under strict mathematical constraints.</p> <p>The method leverages principles from differential geometry and partial differential equations to ensure stability, invertibility, and consistency of the spatial mapping. A constructive pipeline is defined to generate valid transformations that align spatial structure with compression objectives, enabling controlled redistribution of information prior to encoding.</p> <p>The proposed formulation addresses limitations of indirect estimation approaches by providing a structured mechanism for enforcing transformation properties. The framework is compatible with existing video coding pipelines and is designed to operate within practical computational constraints.</p> <p>Experimental validation demonstrates consistency between the prescribed transformation properties and the resulting behavior of the system, supporting the feasibility of the approach.</p> |
| title | Direct Jacobian Control for Geometric Video Compression via Prescribed-Density Diffeomorphic Synthesis |
| topic | geometric video compression geometric video compression diffeomorphic transformations spatial modeling PDE-based methods computational imaging |
| url | https://doi.org/10.5281/zenodo.19121483 |