American National Standard ASME Y14.5M, 1994, "*Dimensioning and Tolerancing*", ASME, New York.

American National Standard ASME Y14.5M, 2009, "*Dimensioning and Tolerancing*", ASME, New York.

Zhang, H. C., 1997, "*Advanced Tolerancing Techniques*", Wiley, New York.

Davidson, J. K., Mujezinovic, A., and Shah, J. J., 2002, “A New Mathematical Model for Geometric Tolerances as Applied to Round Faces,” ASME J. Mech. Des., 124 , pp. 609–622.

[CrossRef]Pasupathy, T. M. K., Morse, E. P., and Wilhelm, R. G., 2003, “A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones,” ASME J. Comput. Inf. Sci. Eng., 3 , pp. 64–75.

[CrossRef]Bhide, S., Davidson, J. K., and Shah, J. J., 2003, “A New Mathematical Model for Geometric Tolerances as Applied to Axes,” ASME Paper No. DETC2003/DAC-48736.

Davidson, J. K., and Shah, J. J., 2002, “Geometric Tolerances: A New Application for Line Geometry and Screws,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 216 (1), pp. 95–103.

[CrossRef]Mujezinović, A., Davidson, J. K., and Shah, J. J., 2004, “A New Mathematical Model for Geometric Tolerances as Applied to Polygonal Faces,” ASME J. Mech. Des., 126 (3), pp. 504–518.

[CrossRef]Ameta, G., DavidsonJ. K., and Shah, J. J., 2007, “Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies,” ASME J. Comput. Inf. Sci. Eng., 7 (4), pp. 347–359.

[CrossRef]Ameta, G., Davidson, J. K., and Shah, J. J., 2010, “Using Tolerance-Maps to Generate Frequency Distributions of Clearance for Tab-Slot Assemblies,” ASME J. Comput. Inf. Sci. Eng., 10 , p. 011005.

[CrossRef]Ameta, G., Davidson, J. K., and Shah, J., 2010, “Influence of Form on Tolerance-Map-Generated Frequency Distributions for 1D Clearance in Design,” Precis. Eng., 34 , pp. 22–27.

[CrossRef]Shah, J. J., Ameta, G., Shen, Z., and Davidson, J. K., 2007, “Navigating the Tolerance Analysis Maze,” Computer Aided Design and Applications, 4 (5), pp. 705–718.

Shen, Z., Ameta, G., Shah, J. J., and Davidson, J. K., 2005, “A Comparative Study of Tolerance Analysis Methods,” ASME J. Comput. Inf. Sci. Eng., 5 (3), pp. 247–256.

[CrossRef]Hong, Y. S., and Chang, T. -C., 2002, “A Comprehensive Review of Tolerancing Research,” Int. J. Prod. Res., 40 (11), pp. 2425–2459.

[CrossRef]Mansoor, E. M., 1963, “The Application of Probability to Tolerances Used in Engineering Design,” Proc. Inst. Mech. Eng., 178 , pp. 29–51.

[CrossRef]Parkinson, D. B., 1982, “The Application of Reliability Methods to Tolerancing,” ASME J. Mech. Des., 104 , pp. 612–618.

[CrossRef]Evans, D. H., 1967, “An Application of Numerical Integration Techniques to Statistical Tolerancing,” Technometrics, 9 (3), pp. 441–456.

[CrossRef]Taguchi, G., Elsayed, E. A., and Hsiang, T. C., 1989, "*Quality Engineering in Production Systems*", McGraw-Hill, New York.

Nigam, S. D., and Turner, J. U., 1995, “Review of Statistical Approaches to Tolerance Analysis,” Comput.-Aided Des., 27 (1), pp. 6–15.

[CrossRef]D’Errico, J. R., and Zaino, N. A., 1988, “Statistical Tolerancing Using a Modification of Taguchi’s Method,” Technometrics, 30 , pp. 397–405.

[CrossRef]Kharoufeh, J. P., and Chandra, M. J., 2002, “Statistical Tolerance Analysis for Non-Normal or Correlated Normal Component Characteristics,” Int. J. Prod. Res., 40 (2), pp. 337–352.

[CrossRef]Seo, S. H., and Kwak, M. B., 2002, “Efficient Statistical Tolerance Analysis for General Distributions Using Three-Point Information,” Int. J. Prod. Res., 40 (4), pp. 931–944.

[CrossRef]Varghese, P., Braswell, R. N., Wang, B., and Zhang, C., 1996, “Statistical Tolerance Analysis Using FRPDF and Numerical Convolution,” Comput.-Aided Des., 28 (9), pp. 723–732.

[CrossRef]Clément, A., Desrochers, A., and Riviére, A., 1991, “Theory and Practice of 3D Tolerancing for Assembly,” Second CIRP Seminar on Computer Aided Tolerancing , Pennsylvania.

Clément, A., Riviére, A., and Temmerman, M., 1992, "*Cotation Tridimensionelle des Systemes Mecaniques, Theorie et Pratique*", Addison-Wesley, Boston, in French.

Reuleaux, F., 1875, "*Theoretische Kinematik: Grundzüge einer Theorie des Maschinenwesens, Vieweg, Braunschweig*" ("*The Kinematics of Machinery*"), KennedyA. B. W., trans., Macmillan, London (Reprinted (1963) with a new introduction by E. S. Ferguson, Dover, NY).

Hunt, K. H., 1976, “Geometry—The Key to Mechanical Movements,” Mech. Mach. Theory, 11 , pp. 79–89.

[CrossRef]Desrochers, A., and Rivière, A., 1997, “A Matrix Approach to the Representation of Tolerance Zones and Clearances,” Int. J. Adv. Manuf. Technol., 13 , pp. 630–636.

[CrossRef]Chase, K. W., Gao, J., and Magleby, S. P., 1995, “General 2-D Tolerance Analysis of Mechanical Assemblies With Small Kinematic Adjustments,” J. Des. Manuf., 5 (4), pp. 263–274.

Glancy, C. G., and Chase, K. W., 1999, “A Second-Order Method for Assembly Tolerance Analysis,” ASME Paper No. DETC99/DAC-8707.

Greenwood, W. H., and Chase, K. W., 1990, “Root Sum Squares Tolerance Analysis With Nonlinear Problems,” ASME J. Eng. Ind., 112 , pp. 382–384.

[CrossRef]Roy, U., and Li, B., 1998, “Representation and Interpretation of Geometric Tolerances for Polyhedral Objects—I. Form Tolerances,” Comput.-Aided Des., 30 (2), pp. 151–161.

[CrossRef]Teissandier, D., Couétard, Y., and Gérard, A., 1999, “A Computer Aided Tolerancing Model: Proportioned Assembly Clearance Volume,” Comput.-Aided Des., 31 , pp. 805–817.

[CrossRef]Giordano, M., Petit, J., and Samper, S., 2003, “Minimum Clearance for Tolerance Analysis of a Vacuum Pump,” Eighth CIRP Seminar on Computer Aided Tolerancing , Charlotte, NC.

Giordano, M., Kataya, B., and Pairel, E., 2003, “Tolerance Analysis and Synthesis by Means of Clearance and Deviation Spaces,” "*Geometric Product Specification and Verification: Integration of Functionality*", P.Bourdet and L.Mathieu, eds., Kluwer Academic, Dordrecht, Netherlands.

Whitney, D. E., Gilbert, O. L., and Jastrzebski, M., 1994, “Representation of Geometric Variations Using Matrix Transforms for Statistical Tolerance Analysis in Assemblies,” Res. Eng. Des., 6 , pp. 191–210.

[CrossRef]Lee, S., and Yi, C., 1998, “Statistical Representation and Computation of Tolerance and Clearance for Assemblability Evaluation,” Robotica, 16 , pp. 251–264.

[CrossRef]Zou, Z., and Morse, E., 2001, “Statistical Tolerance Analysis Using GapSpace,” Seventh CIRP International Seminar on Computer Aided Tolerancing , ENS de Cachan, France.

Coxeter, H. S., 1969, "*Introduction to Geometry*", 2nd ed., Wiley, New York.