Abstract
Recently, the Multi-level Partition of Unity (MPU) method has been used as a technique to create an implicit surface from a large number of points. In this study, we propose multi-resolution representation of the implicit surface based on the MPU method. If the concept of the multi-resolution representation is incorporated into the MPU method, the implicit surfaces become tunable in various situations. Furthermore, the evaluation time of the implicit function can also be shortened. In proposed approach, we create and save the small domains and the local quadratic functions recursively until the given limit precision. For the case with the evaluation of the implicit function, we select quadratic functions satisfying the given precision that should be more moderate than the limit precision. As the result, the implicit surface of arbitrary resolution can be generated quickly.
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