A　novel　method　for　the　interactive　detail　preserving　deformation　of　3D　meshes　is　proposed　in　this　paper.　It　is　based　on　preserving　the　distances　between　each　vertex　and　its　adjacent　vertices　and　the　angles　between　edges　formed　by　each　vertex　and　its　adjacent　vertices.　The　distances　and　the　angles　are　invariant　over　the　rigid　transformations.　If　preserving　the　distances　and　the　angles　it　can　preserve　the　local　details　and　volumetric　details　of　the　mesh,　which　is　important　requirement　of　mesh　deformation.　The　mesh　is　deformed　by　specifying　constraints　of　vertices　positions.　These　constraints　are　incorporated　in　the　distances　and　the　angles　reconstruction　equations,　and　their　solution　produces　a　deformed　surface　geometry　that　preserves　the　local　detail　in　the　least-squares　sense.　We　demonstrate　the　effectiveness　of　our　method　with　several　detail-preserving　deformation　operators.　©　2008　IEEE.