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Continuously flat-woven implantable tubular prostheses have seamless woven sections which gradually change the number of warp yarns to smoothly transition, i.e., taper, from one diameter to another. Multi-diameter endoluminal grafts having a variety of shapes and configurations are made using a seam

Continuously flat-woven implantable tubular prostheses have seamless woven sections which gradually change the number of warp yarns to smoothly transition, i.e., taper, from one diameter to another. Multi-diameter endoluminal grafts having a variety of shapes and configurations are made using a seamless weaving process without unacceptable voids or gaps in the tubular wall.

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1. A method for producing a varying diameter tubular prosthesis comprising:weaving a seamless wall portion having a first longitudinal expanse portion comprising a number of first warp yarns of a first polymer; having a first shrinkage property weaving a seamless wall portion having a second longitu

1. A method for producing a varying diameter tubular prosthesis comprising:weaving a seamless wall portion having a first longitudinal expanse portion comprising a number of first warp yarns of a first polymer; having a first shrinkage property weaving a seamless wall portion having a second longitudinal expanse portion comprising a number of second warp yarns of a second polymer which is different from said first shrinkage property; seamlessly transitioning said first and said second expanse portions; and heat-setting said first and said second expanse portions to shrink said number of first warp yarns of said first polymer to a first tubular diameter and to shrink said number of second warp yarns of said second polymer to a second tubular diameter which is different from said first tubular diameter to shape said varying diameter tubular prosthesis. 2. The method of claim 1 further comprising:selecting said number of first warp yarns of said first polymer, wherein said yarns of said first polymer are thermoplastic polymers selected from the group consisting of polyesters, polypropylenes, polyethylenes, polyurethanes, polytetrafluoroethylenes and combinations thereof; and selecting said number of second warp yarns of said second polymer, wherein said yarns of said second polymer are thermoplastic polymers selected from the group consisting of polyesters, polypropylenes, polyethylenes, polyurethanes, polytetrafluoroethylenes and combinations thereof. 3. The method of claim 1, wherein the heat setting is at a temperature of about 190 to about 200° C.4. The method of claim 1, wherein said number of first warp yarns of said first polymer is equal to said number of second warp yarns of said second polymer.5. The method of claim 1, wherein said number of first warp yarns of said first polymer is different from said number of second warp yarns of said second polymer.6. A method for producing a varying diameter tubular prosthesis comprising:weaving a wall portion having a first longitudinal expanse portion comprising a first number of warp yarns of a first polymer; weaving a wall portion having a second longitudinal expanse portion comprising a second number of warp yarns of a second polymer; seamlessly transitioning said first and said second expanse portions; and heat-setting said first expanse portion at a first temperature to shrink said yarns to a first tubular diameter; and heat-setting said second expanse portion at a second temperature, which is different from said first temperature, to shrink said yarns to a second tubular diameter, which is different from the first tubular diameter, to shape said varying diameter tubular prosthesis. 7. The method of claim 6, wherein said first number of warp yarns of said first polymer are thermoplastic polymers selected from the group consisting of polyesters, polypropylenes, polyethylenes, polyurethanes, polytetrafluoroethylenes and combinations thereof; and wherein said second number of warp yarns of said second polymer are thermoplastic polymers selected from the group consisting of polyesters, polypropylenes, polyethylenes, polyurethanes, polytetrafluoroethylenes and combinations thereof.8. The method of claim 6, wherein said first polymer is the same as said second polymer.9. The method of claim 6, wherein said first polymer is different from said second polymer.10. The method of claim 6, wherein said first temperatures is from about 190 to about 200° C.11. The method of claim 6, wherein said second temperatures is from about 190 to about 200° C.12. The method of claim 6, wherein said number of first warp yarns of said first polymer is equal to said number of second warp yarns of said second polymer.13. The method of claim 6, wherein said number of first warp yarns of said first polymer is different from said number of second warp yarns of said second polymer.