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MME9728b-Computer-Aided Geometric Modeling
          Course Seminar-2009




                 Presented by:
         Md. Shafayet Hossain Bhuiya
        Student ID Number: 250450354
                 MME, UWO
OUTLINES


 Introduction
 Conventional data reduction method
 Triangulated model proposed by Chen et all.(1999)
 Proposed method of this paper
 How this technique works?(Triangulation, Normal
 estimation, Initial grid generation, Grid sub-division,
 Extraction of points)
 Application examples
 Benefits and Drawbacks of the proposed methods.
 References
Reverse Engineering: While conventional engineering
     transforms engineering concepts and models into real parts, in
     reverse engineering real parts are transformed into engineering
     models and concepts.


     Capturing device:
1.   Contact type;
2.   Non-contact type.              Figure: Reverse Engineering Process

     Laser scanning system:
     Non-contact type device. Most widely used for speed and
     accuracy. It is useful for surface data collection of complex
     shape and free form surfaces.
Data reduction---Why?
  Amount of data in the raw file is usually very large.
  Large storage space is required.
  Increase computational time.
So, data reduction is very important in reverse engineering.

  This paper proposed a point data reduction method
  based on normal values of points using 3D grids. This
  method was applied for two models and results were
  discussed.
CONVENTIONAL DATA REDUCTION METHOD




       Figure: Conventional data reduction method
Figure: Point data reduction method using 3D grids
Point data:
 Structured data are obtained by laser scanning system.
 Since a scan path is defined as a series of line
 segments, each line in the path is ordered as are the
 points in each scan line.
                                             Laser
           Scan line
                                             probe
Scan                                     Laser
data set                                 stripe




Sensor                              Part for
                                    scanning

         Figure: Laser scanning system
                                                     Figure: Point data
Triangulation:
   Three vertices of a triangle can not be in one scan line. When
 two vertices are in one scan line, the last one must be other.




                  Figure: Triangulated point data
Normal Estimation:




Figure: Two edges of a triangle




                                  Figure: Two cases for edge determination




 Figure: Edge generation of two
 scan lines
                                               Formula used
Initial Grid-Generation and sub-division:




    Figure: Bounding box              Figure: Initial grids




   Figure: Octree Structure      Figure: Octree
Grid sub-division method:
Extraction of points:
After sub-division, representative points are extracted.
A point whose normal value is closest to the average of
the points within the cell, is selected as the representative
points.
In this method, level of data reduction depends on two
factors---
Number of initial cells
Size of the user defined tolerance
Figure: Scanned point data              Figure: Point data with normal




            Figure: Complete model with bounding box
Figure: Initial grids                  Figure: Non-uniform 3D-grids




                        Figure: Reduced point data
Figure: Error analysis of the 3D grid method for maximum and average deviation
Previously proposed 2D grid methods work only
for data acquired with one scanning direction but
proposed 3D grid method directly deals with entire
3D point data. It does not require merging of data
in advance.
In the phone model example, we have already seen
that 3D grid method shows better results compared
to other three conventional methods.
Resulting cells can be used for volumetric
representations for their shapes. Cross -sectional
slice data needed for rapid prototyping can also be
generated from 3D grid model efficiently.
In 2006, Liu Deping et all. Proposed a new method of data
reduction called “Adaptive minimum distance method".
                    Survey data capturing


                    Noise points canceling



                      Curvature calculation
                          and analysis


                    Data points zero division


                        Data reduction

         Figure: Adaptive minimum distance method
Noise elimination in data samples is an important issue. In our
current paper, we have no indication of noise filtering process.
But Liu Deping et all. showed noise filtering by visual
observation method, curve check method and chord high
difference method.
Data points are divided into sudden zero(sharp change),
transition zero(change of curvature is the bigger), flat
zero(change of curvature is gentle).Less data points are
preserved at the less curvature zero and more points are
preserved at the bigger curvature zero or sharp zero.
This method better preserves the detail character of initial
data(precision) and also improves the data reduction efficiency.
REFERENCES

 K.H. Lee, H. Woo and T. Suk, “Point data reduction using 3D
 grids”, The International Journal of Advanced Manufacturing
 Technology, 2001.
 Y.H Chen, C.T Ng and Y.Z wang, “Data reduction in
 integrated reverse Engineering and rapid prototyping”,
 International Journal of Computer Integrated Manufacturing,
 12(2), pp. 97-103, 1999.
 LIU Deping, CHEN Jianjun and SHANGGUAN Jianlin, “A
 study on the point data reduction in reverse engineering”,
 International Technology and Innovation Conference 2006.

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POint data reduction

  • 1. MME9728b-Computer-Aided Geometric Modeling Course Seminar-2009 Presented by: Md. Shafayet Hossain Bhuiya Student ID Number: 250450354 MME, UWO
  • 2. OUTLINES Introduction Conventional data reduction method Triangulated model proposed by Chen et all.(1999) Proposed method of this paper How this technique works?(Triangulation, Normal estimation, Initial grid generation, Grid sub-division, Extraction of points) Application examples Benefits and Drawbacks of the proposed methods. References
  • 3. Reverse Engineering: While conventional engineering transforms engineering concepts and models into real parts, in reverse engineering real parts are transformed into engineering models and concepts. Capturing device: 1. Contact type; 2. Non-contact type. Figure: Reverse Engineering Process Laser scanning system: Non-contact type device. Most widely used for speed and accuracy. It is useful for surface data collection of complex shape and free form surfaces.
  • 4. Data reduction---Why? Amount of data in the raw file is usually very large. Large storage space is required. Increase computational time. So, data reduction is very important in reverse engineering. This paper proposed a point data reduction method based on normal values of points using 3D grids. This method was applied for two models and results were discussed.
  • 5. CONVENTIONAL DATA REDUCTION METHOD Figure: Conventional data reduction method
  • 6.
  • 7. Figure: Point data reduction method using 3D grids
  • 8. Point data: Structured data are obtained by laser scanning system. Since a scan path is defined as a series of line segments, each line in the path is ordered as are the points in each scan line. Laser Scan line probe Scan Laser data set stripe Sensor Part for scanning Figure: Laser scanning system Figure: Point data
  • 9. Triangulation: Three vertices of a triangle can not be in one scan line. When two vertices are in one scan line, the last one must be other. Figure: Triangulated point data
  • 10. Normal Estimation: Figure: Two edges of a triangle Figure: Two cases for edge determination Figure: Edge generation of two scan lines Formula used
  • 11. Initial Grid-Generation and sub-division: Figure: Bounding box Figure: Initial grids Figure: Octree Structure Figure: Octree
  • 13. Extraction of points: After sub-division, representative points are extracted. A point whose normal value is closest to the average of the points within the cell, is selected as the representative points. In this method, level of data reduction depends on two factors--- Number of initial cells Size of the user defined tolerance
  • 14. Figure: Scanned point data Figure: Point data with normal Figure: Complete model with bounding box
  • 15. Figure: Initial grids Figure: Non-uniform 3D-grids Figure: Reduced point data
  • 16. Figure: Error analysis of the 3D grid method for maximum and average deviation
  • 17. Previously proposed 2D grid methods work only for data acquired with one scanning direction but proposed 3D grid method directly deals with entire 3D point data. It does not require merging of data in advance. In the phone model example, we have already seen that 3D grid method shows better results compared to other three conventional methods. Resulting cells can be used for volumetric representations for their shapes. Cross -sectional slice data needed for rapid prototyping can also be generated from 3D grid model efficiently.
  • 18. In 2006, Liu Deping et all. Proposed a new method of data reduction called “Adaptive minimum distance method". Survey data capturing Noise points canceling Curvature calculation and analysis Data points zero division Data reduction Figure: Adaptive minimum distance method
  • 19. Noise elimination in data samples is an important issue. In our current paper, we have no indication of noise filtering process. But Liu Deping et all. showed noise filtering by visual observation method, curve check method and chord high difference method. Data points are divided into sudden zero(sharp change), transition zero(change of curvature is the bigger), flat zero(change of curvature is gentle).Less data points are preserved at the less curvature zero and more points are preserved at the bigger curvature zero or sharp zero. This method better preserves the detail character of initial data(precision) and also improves the data reduction efficiency.
  • 20. REFERENCES K.H. Lee, H. Woo and T. Suk, “Point data reduction using 3D grids”, The International Journal of Advanced Manufacturing Technology, 2001. Y.H Chen, C.T Ng and Y.Z wang, “Data reduction in integrated reverse Engineering and rapid prototyping”, International Journal of Computer Integrated Manufacturing, 12(2), pp. 97-103, 1999. LIU Deping, CHEN Jianjun and SHANGGUAN Jianlin, “A study on the point data reduction in reverse engineering”, International Technology and Innovation Conference 2006.