Morphological interpolation and color images

Iwanowski, Marcin; Serra, Jean

doi:10.1109/iciap.1999.797570

Cited by 20 publications

(23 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Unlike the first and the second experiments, in which linear trajectories were used, trajectories had to be calculated using the finding trajectories sub-procedure, as shown in Subsection 3.4. Figure 14 shows the data of surface B in time interval [1,2]. After constructing all of the data, the final data were put in the same space and time coordinates to simulate geological processes-sedimentation and erosion, in this case.…”

Section: Software and Experimentsmentioning

confidence: 99%

“…Each horizon in each time interval was run using the software. For example, to construct spatio-temporal data of the geological horizon, B, in time interval [2,3] from two of its shapes at time instances t = 2, 3, we only had to set up eight pairs of control vertices. Figure 11 shows the geological horizon, B, in time interval [2,3].…”

Section: Software and Experimentsmentioning

confidence: 99%

“…We constructed the data of surfaces in time interval [0,5] by constructing the data of each surface (A, B, C) in each time interval, [0, 1], [1,2], [3,4] and [4,5]. For the purpose of brevity, we only describe the procedure to construct data of surface B in time interval [1,2]. In this case, the source mesh was surface B at time t = 2, and the target mesh was surface A at time t = 1.…”

Section: Software and Experimentsmentioning

confidence: 99%

“…Some studies exist regarding morphological interpolation based on mathematical morphology [2][3][4][5]. These methods were restricted to images (binary/grayscale and color) and were used to generate intermediate 2D sections and to reconstruct 3D objects from their initial 2D sections.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Spatio-Temporal Data Construction

2013

IJGI

View full text Add to dashboard Cite

Abstract:On the route to a spatio-temporal geoscience information system, an appropriate data model for geo-objects in space and time has been developed. In this model, geo-objects are represented as sequences of geometries and properties with continuous evolution in each time interval. Because geomodeling software systems usually model objects at specific time instances, we want to interpolate the geometry and properties from two models of an object with only geometrical constraints (no physical or mechanical constraints). This process is called spatio-temporal data construction or morphological interpolation of intermediate geometries. This paper is strictly related to shape morphing, shape deformation, cross-parameterization and compatible remeshing and is only concerned with geological surfaces. In this study, two main sub-solutions construct compatible meshes and find trajectories in which vertices of the mesh evolve. This research aims to find an algorithm to construct spatio-temporal data with some constraints from the geosciences, such as cutting surfaces by faulting or fracturing phenomena and evolving boundaries attached to other surfaces. Another goal of this research is the implementation of the algorithm in a software product, namely a gOcad plug-in. The four main procedures of the algorithm are cutting the surfaces, setting up constraints, partitioning and calculating the parameterizations and trajectories. The software has been tested to construct data for a salt dome and other surfaces in regard to the geological processes of faulting, deposition and erosion. The result of this research is an algorithm and software for the construction of spatio-temporal data.

show abstract

Section: Software and Experimentsmentioning

confidence: 99%

Section: Software and Experimentsmentioning

confidence: 99%

Section: Software and Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Spatio-Temporal Data Construction

2013

IJGI

View full text Add to dashboard Cite

show abstract

“…1 The interpolated grayscale frame ͑X i ͒, 0 ഛ i ഛ M, M ജ 2 depends on the content of an input grayscale frame and an output grayscale frame. For i = 0, the interpolated grayscale frame is equal to the input grayscale frame X 0 ; for i = M, the interpolated grayscale frame is equal to the output grayscale frame X M .…”

Section: Introductionmentioning

confidence: 99%