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St. Thomas is basing his teaching on St. John Damascene, whom you can't deny is a saint in your own Church. Here are some quotes from the passages cited by St. Thomas.
Book 4, chapter 11:
>Moreover we worship even the image of the precious and life-giving Cross, although made of another tree, not honouring the tree (God forbid) but the image as a symbol of Christ. For He said to His disciples, admonishing them, Then shall appear the sign of the Son of Man in Heaven Matthew 24:30, meaning the Cross. And so also the angel of the resurrection said to the woman, You seek Jesus of Nazareth which was crucified. Mark 16:6 And the Apostle said, We preach Christ crucified. 1 Corinthians 1:23 For there are many Christs and many Jesuses, but one crucified. He does not say speared but crucified. It behooves us, then, to worship the sign of Christ. For wherever the sign may be, there also will He be. But it does not behoove us to worship the material of which the image of the Cross is composed, even though it be gold or precious stones, after it is destroyed, if that should happen. Everything, therefore, that is dedicated to God we worship, conferring the adoration on Him.
Book 4, hapter 16
> But since some find fault with us for worshipping and honouring the image of our Saviour and that of our Lady, and those, too, of the rest of the saints and servants of Christ, let them remember that in the beginning God created man after His own image. Genesis 1:26On what grounds, then, do we show reverence to each other unless because we are made after God's image? For as Basil, that much-versed expounder of divine things, says, the honourgiven to the image passes over to the prototype. Now a prototype is that which is imaged, from which the derivative is obtained. Why was it that the Mosaic people honoured on all hands the tabernacle Exodus 33:10 which bore an image and type of heavenly things, or rather of the whole creation? God indeed said to Moses, Look that thou make them after their pattern which was showed you in the mount. The Cherubim, too, which o'ershadow the mercy seat, are they not the work of men's hands Exodus 25:18? What, further, is the celebrated temple at Jerusalem? Is it not hand-made and fashioned by the skill of men 1 Kings viii?
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>Often, doubtless, when we have not the Lord's passion in mind and see the image of Christ's crucifixion, His saving passion is brought back to remembrance, and we fall down and worship not the material but that which is imaged: just as we do not worship the material of which the Gospels are made, nor the material of the Cross, but that which these typify. For wherein does the cross, that typifies the Lord, differ from a cross that does not do so? It is just the same also in the case of the Mother of the Lord. For the honour which we give to her is referred to Him Who was made of her incarnate. And similarly also the brave acts of holy men stir us up to be brave and to emulate and imitate their valour and to glorify God. For as we said, the honourthat is given to the best of fellow-servants is a proof of good-will towards our common Lady, and the honour rendered to the image passes over to the prototype.
http://www.newadvent.org/fathers/33044.htm